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Finding the Fourth Proportional to 550.57, 825.28 and 185.23

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Solution

The fourth proportional to 550.57, 825.28 and 185.23 is: 277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.57 : 825.28 = 185.23 : x
  2. Step 2: Convert to fraction form
    550.57/825.28 = 185.23/x
  3. Step 3: Cross multiply
    550.57x = 825.28 × 185.23
  4. Step 4: Simplify right side
    550.57x = 152,865.69
  5. Step 5: Solve for x
    x = 152,865.69/550.57
  6. Step 6: Final answer
    x = 277.65

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Double scale
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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.